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Finding the Fourth Proportional to 180.28, 248.69 and 118.10

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Solution

The fourth proportional to 180.28, 248.69 and 118.10 is: 162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.28 : 248.69 = 118.10 : x
  2. Step 2: Convert to fraction form
    180.28/248.69 = 118.10/x
  3. Step 3: Cross multiply
    180.28x = 248.69 × 118.10
  4. Step 4: Simplify right side
    180.28x = 29,369.14
  5. Step 5: Solve for x
    x = 29,369.14/180.28
  6. Step 6: Final answer
    x = 162.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.